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Finding the Fourth Proportional to 12,197.69, 18,290.00 and 5,618.16

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Solution

The fourth proportional to 12,197.69, 18,290.00 and 5,618.16 is: 8,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.69 : 18,290.00 = 5,618.16 : x
  2. Step 2: Convert to fraction form
    12,197.69/18,290.00 = 5,618.16/x
  3. Step 3: Cross multiply
    12,197.69x = 18,290.00 × 5,618.16
  4. Step 4: Simplify right side
    12,197.69x = 102,756,160.45
  5. Step 5: Solve for x
    x = 102,756,160.45/12,197.69
  6. Step 6: Final answer
    x = 8,424.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.